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Finding the Fourth Proportional to 7,409, 10,224.74 and 4,097

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Solution

The fourth proportional to 7,409, 10,224.74 and 4,097 is: 5,654.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409 : 10,224.74 = 4,097 : x
  2. Step 2: Convert to fraction form
    7,409/10,224.74 = 4,097/x
  3. Step 3: Cross multiply
    7,409x = 10,224.74 × 4,097
  4. Step 4: Simplify right side
    7,409x = 41,890,759.78
  5. Step 5: Solve for x
    x = 41,890,759.78/7,409
  6. Step 6: Final answer
    x = 5,654.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.